Journal of Symplectic Geometry
Volume 13 (2015)
Legendrian rational unknots in lens spaces
Pages: 17 – 50
We classify Legendrian rational unknots with tight complements in the lens spaces $L(p, 1)$ up to coarse equivalence. As an example of the general case, this classification is also worked out for $L(5, 2)$. The knots are described explicitly in a contact surgery diagram of the corresponding lens space.